Finding the Third Proportional to 2,119.19 and 3,200.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.19 : 3,200.41 = 3,200.41 : x
2. Step 2: Convert to fraction form
   2,119.19/3,200.41 = 3,200.41/x
3. Step 3: Cross multiply
   2,119.19x = 3,200.41 × 3,200.41
4. Step 4: Simplify right side
   2,119.19x = 10,242,622.04
5. Step 5: Solve for x
   x = 10,242,622.04/2,119.19
6. Step 6: Final answer
   x = 4,833.27